When an obsession with 'solvable problems' in everyday life collides with an attitude of affirming finitude, what character traits should one cultivate, from the standpoint of virtue ethics, in order to recognize and accept this conflict?

I think the mechanism of 'acceptance' correlates more strongly with virtue ethics than with deontological perspectives. The character traits that an accepting attitude is expected to entail are as follows.

1. It becomes more likely to make moral decisions. As I will explain later, I think the moral consensus that modern society has established is rational even from a long-term perspective at the individual level. Therefore, when there is less incentive to make myopic or irrational decisions, there is a higher probability of adhering to this morality.
2. One becomes more inclusive toward others. After all, humans share some circuitry for evaluating themselves and others (though the pattern may vary depending on individual SVO), so when one has a high degree of accepting attitude toward oneself, the likelihood of extending that generosity to others is expected to increase.
3. Overall, the cognitive resources available to us increase. This may overlap somewhat with the first reason when viewed broadly, but I think the more cognitive resources one has for decision-making, the more capacity one has to pursue what we commonly call 'virtue.' Various other dispositional traits may also emerge, but for now this remains a speculative view.